$\begingroup$@RonBeyer Not strictly an aircraft, but a powered flying machine. I see your Wright Flyer and raise you the Lunar Excursion Module$\endgroup$
– SimonDec 21 '16 at 21:42

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$\begingroup$@mins With tongue in cheek, there are several types of flying machine that do not require aerodynamic lift. Consider the Giffard dirigible for example.$\endgroup$
– SimonDec 21 '16 at 22:02

3 Answers
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In the first ones the pilot was rarely sitting. Inspired by ships, some early aviators steered their craft by standing upright:

Almost all balloons were and still are flown standing upright. Same goes for all Zeppelins, and they should qualify as powered aircraft.

All Lilienthal glider designs required the pilot to stick the forearm through a tube and grab a horizontal bar, so his weight would rest on the forearm. Steering was done by swinging the legs left or right rsp. back or forward. The legs also doubled as the landing gear, much like in modern hang gliders. Lilienthal experimented with carbon dioxide engines, so some of his gliders can be called powered.

The Horten gliders were flown in a prone position so the pilot would present a lower cross section. The Horten IIId was a motor glider version using a 32hp Volkswagen engine, so this should count as powered, too.

Before anti-g suits were perfected, some designs used a prone pilot position to increase the possible g loads. Here is an answer which covers this aspect.

Most hang gliders use a prone or almost lying position for reducing the drag the pilot causes. The powered ones should also qualify here. Same goes for motor gliders derived from sailplanes, where the pilot position is almost lying, too.